Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups

DOI10.1007/S11856-018-1750-9zbMath1454.22005arXiv1612.06958OpenAlexW2963046425WikidataQ129441289 ScholiaQ129441289MaRDI QIDQ1617940

Stephan Tornier, Timothy P. Bywaters, Helge Glöckner

Publication date: 13 November 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06958

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General properties and structure of complex Lie groups (22E10)

Related Items (5)

CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS ⋮ A totally disconnected invitation to locally compact groups ⋮ Distal actions on coset spaces in totally disconnected locally compact groups ⋮ Willis theory via graphs ⋮ Expansive dynamics on profinite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of flat actions on totally disconnected, locally compact groups
• Endomorphisms of profinite groups.
• On contraction groups of automorphisms of totally disconnected locally compact groups
• The Mautner phenomenon for p-adic Lie groups
• Contractible Lie groups over local fields
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• The structure of totally disconnected, locally compact groups
• Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices
• Endomorphisms of Lie groups over local fields
• Contraction groups and scales of automorphisms of totally disconnected locally compact groups
• The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
• Contractive automorphisms on locally compact groups
• The nub of an automorphism of a totally disconnected, locally compact group
• Classification of the simple factors appearing in composition series of totally disconnected contraction groups
• Contraction subgroups and semistable measures on p-adic Lie groups
• Topological entropy in totally disconnected locally compact groups
• Locally compact groups built up from p-adic Lie groups, for p in a given set of primes
• CONTRACTION GROUPS FOR TIDY AUTOMORPHISMS OF TOTALLY DISCONNECTED GROUPS
• Further properties of the scale function on a totally disconnected group

This page was built for publication: Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups